Q. Choose the correct match codes.
| 1. Periodic matrix | A. A2=A |
| 2. Involuntary matrix | B. A2=I |
| 3. Idempotent matrix | C. Ak=0 |
| 4. Nilpotent matrix | D. Ak+1=A |
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Q. If A and B are Hermitian matrix, then which of the following is true?
| i. A+B is Hermitian. |
| ii. AB+BA is also Hermitian. |
| iii. AB-BA is skew Hermitian. |
Q. Consider the matrix A =
If A
n = zero matrix of order 3x3. Then the sum of the roots of
Xn - 6Xn - 1 + 11Xn - 2 - 6Xn - 3 = 0 is __________, such that
n is minimum.
Q. The rank of the matrix
is __________.
Q. Consider the matrix A =
Q. Choose the correct option for the given matrix A =
Q. The characteristic roots of the matrix A =
will be __________.
Q. If "p" be an eigen value of a non-singular matrix B, then which of the following is an eigen value of (adj B)?
Q. If "p" is the eigen value of a n x n matrix B, then the eigen value of Bxyz is __________.
Q. The number of algebraic terms in the expansion of a determinant of order 6 will be __________.
Q. If the determinant of the matrix B =
is 8, then the determinant of transposed matrix i.e
|Bt| will be equal to __________.
Q. The rank of a given matrix A =
will be __________.
Q. What it correct for the below system of linear equation:
X - 2Y + 3Z = -2
-X + Y - 2Z = 3
2X - Y + 3Z = -7
Q. The modulus of eigen values of a unitary matrix is __________.
Q. The matrix P is the inverse of a matrix Q. If I denotes the identity matrix, which one of the following option is correct?
